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57236328 = 23332341281
BaseRepresentation
bin1101101001010…
…1101101101000
310222200220111000
43122111231220
5104123030303
65402435000
71263333522
oct332255550
9128626430
1057236328
112a343556
1217202a60
13bb20066
14785ca12
155058da3
hex3695b68

57236328 has 128 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 17740800.

The previous prime is 57236321. The next prime is 57236339. The reversal of 57236328 is 82363275.

57236328 is a `hidden beast` number, since 572 + 3 + 63 + 28 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 57236292 and 57236301.

It is not an unprimeable number, because it can be changed into a prime (57236321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203548 + ... + 203828.

It is an arithmetic number, because the mean of its divisors is an integer number (1332450).

Almost surely, 257236328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57236328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85276800).

57236328 is an abundant number, since it is smaller than the sum of its proper divisors (113317272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57236328 is a wasteful number, since it uses less digits than its factorization.

57236328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 57236328 is about 7565.4694500738. The cubic root of 57236328 is about 385.3812561042.

The spelling of 57236328 in words is "fifty-seven million, two hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 41 46 54 69 72 82 92 108 123 138 164 184 207 216 246 276 281 328 369 414 492 552 562 621 738 828 843 943 984 1107 1124 1242 1476 1656 1686 1886 2214 2248 2484 2529 2829 2952 3372 3772 4428 4968 5058 5658 6463 6744 7544 7587 8487 8856 10116 11316 11521 12926 15174 16974 19389 20232 22632 23042 25461 25852 30348 33948 34563 38778 46084 50922 51704 58167 60696 67896 69126 77556 92168 101844 103689 116334 138252 155112 174501 203688 207378 232668 264983 276504 311067 349002 414756 465336 529966 622134 698004 794949 829512 1059932 1244268 1396008 1589898 2119864 2384847 2488536 3179796 4769694 6359592 7154541 9539388 14309082 19078776 28618164 57236328